Business administration club has a budget of 180 OMR to invest into two types of items: A and B. The

maliaseth0

maliaseth0

Answered question

2022-01-22

Business administration club has a budget of 180 OMR to invest into two types of items: A and B. The cost of item A is 11 OMR while the cost of item B is 5 OMR. The club store is only enough for 20 pieces. The profit of selling item A is 4 OMR whereas the profit of selling item B is 2 OMR. How many pieces of each type of items should be purchased in order to maximize the profit?

Answer & Explanation

tainiaadjouctlw

tainiaadjouctlw

Beginner2022-01-23Added 14 answers

Let the number of item A be x and B be y. As the number of items can never be negative thus x0,y0.
Now we have to maximize profit. The profit on total item A is 4x and item B is 2x thus P=4x+2y. As the club store can have maximum 20 pieces thus x+y20. Now the price of item A is 11 OMR and item B is 5 OMR, the number of units are x and y respectively and the total budget is 180 OMR thus 11x+5y180
Thus maximize P=4x+2y

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